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Finding the Third Proportional to 184,812 and 400,704

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Solution

The third proportional to 184,812 and 400,704 is: 868,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,812 : 400,704 = 400,704 : x
  2. Step 2: Convert to fraction form
    184,812/400,704 = 400,704/x
  3. Step 3: Cross multiply
    184,812x = 400,704 × 400,704
  4. Step 4: Simplify right side
    184,812x = 160,563,695,616
  5. Step 5: Solve for x
    x = 160,563,695,616/184,812
  6. Step 6: Final answer
    x = 868,794.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.